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Automatic control theory and adjacent problems
Mathematical description, structural and analytical simulation, and synthesis of objects and automatic control systems
Links to new articles:
Fedosov B.T. State equations of dynamic objects with delay
Fedosov B.T. Multi-dimensional (MIMO) objects. The description, analysis and control
Articles of scientifically-methodical character are oriented on common perception of the basic ideas and therefore are whenever possible explained by simple, accessible language.
Methodical instructions for execution of laboratory works is directed on acquisition and fixing of initial skills of build-up, investigation and optimisation of models of objects and control systems. Therefore they are stated in details, with consideration of the theory and detailed explanations on construction of virtual laboratory benches and investigation of models of objects and control systems. Methodical instructionses are supplied by the application of assemblage of bars and completely serviceable models of objects and control systems that facilitates mastering of a material and acquisition of skills of simulation.
Modern presentation of the theory of automatic control leans against a mathematical apparatus of state spaces, state-variables and transfer functions. This apparatus is powerful and effective. He allows to parse and synthesise the composite models of multivariable systems of automatic control.
However this mathematical apparatus differs abstractness and requires from the student of high mathematical culture and engineering erudition of whom farly not all students can brag.
As a result the majority of ordinary students are not able to master an ACTh (an automatic control theory) course, and therefore and do not apply it in the professional work. The strong students, having mastered a course in a status to work in the field of development of the complex automatic control systems. However the considerable proportion of industrial automatic control systems is simple enough that also the ordinary engineer could develop, set up and operate them.
Thus mathematical state-variable approaches, being the abstract, difficultly assimilated students at the studying initial stage, turn to "transcendental object" when the description and analysis generality becomes as though end in itself.
Simplification of the task of mastering of the theory of automatic control by students at the first stage of its studying can be executed an offered procedure of presentation of a course of an ACTh (an automatic control theory) and its laboratory-methodical supporting against the programs of object-oriented and analytical simulation of automatic controls systems (VisSim and Mathcad). Such course on forces and students of an average and even a low training level and abilities.
Welcome in English version!
Having mastered a course in an offered volume, having fathomed and having experienced sense of the basic concepts of an ACTh (automatic control theory), having gained skills of work in VisSim and Mathcad, the student with small costs can get down to and mastering powerful, effective, but the abstract mathematical apparatus of description of the automatic control system by state-variables.
1. Automatic control. Theory problems
Automatic control theory is science, which is engaged in research of systems both objects of automatic control and construction of mathematical and structural models of efficient, optimum automatic control systems.
Examples of control objects. The Soviet shuttle "Buran" on the plane АН-225 "Mria" ("Dream"), washing machine Indesit, ball mill. Control all of these machines in this or that measure automatically. So, Buran, coming back from space, has carried out landing completely in an automatic mode, without participation of the man
2. Simulation and simulation programs
Modern consideration, presentation and mastering of the theory of automatic control is proposed necessity usage of programs of structural and analytical simulation. From the point of view of the author the best in this sense programs of initial mastering of the theory and practice and application in professional work are programs VisSim and Mathcad, used in a tandem. These programs exceed sheaf Matlab + Simulink on ease of mastering by students and effectivenesses of automatic control theory problem solving.
VisSim allows to create virtual models of laboratory benches for investigation and optimisation of automatic control systems properties and structure. The powerful numerical methods applied by the program, allow to gain effectively numerical evaluations of parametres, characteristic, behaviour and properties of objects and automatic control systems.
VisSim builted models are capable, at application of special plates of the mating set in the computer, to control real objects.
Technique of application of program VisSim has the specificity which mastering is offered in methodical materials on execution of the laboratory works which are available on the present site.
Attentions deserve two versions VisSim. It is last eighth version VisSim 8 and version VisSim 3.0 (FAP 3.0), free of charge offered by the corporation for noncommercial usage in the educational purposes to professors, under their inquiry, for usage in educational process and to their students in a campus. Methodical support of laboratory works, including the virtual laboratory benches, offered on the present site, is executed in third version VisSim FAP 3.0.
The basis of mathematical description of systems and automatic control objects is made by the analytical methods presenting controls systems by formulas, differential equations, etc. Mathcad represents the modern instrument of analytical simulation of controls systems, capable not only a carry of computition and graf plotting under offered formulas, but also to spend transformation and the analysis of formulas, saving the researcher from labour-consuming routine work.
Mathcad works much more slowly, than VisSim, however it is incomparable faster, than it is done by the person at conversion of formulas and realisation of calculations.
Naturally, work in a Mathcad requires knowledge and usage of some specificity, however this work is as much as possible approached to traditional mathematical language which people use any more one century.
3. Methodical support of ACTh (automatic control theory)
Development of object-oriented simulation (OOS) programs allows to change essentially construction and presentation of theoretical and engineering disciplines. Programs ООS allow to carry accent from consideration of numerous technical delicacies of computational methods on profound learning of properties and characteristic of studied and investigated processes, apparatus and objects. Finally it will allow to increase efficiency of educational process and works on projection of objects and systems.
Methodical support of a course of the ACTh, located more low, is advanced, it is oriented on mean and rather feeble students and consequently is concentrated on detailed presentation only the basic problems. To the strong students it will help to gain complete representation about an ACTh (automatic control theory) course.
4. Physical properties of systems and objects and their identification
Competence and understanding of physical properties of systems and objects allows to design, create and exploit them with fathoming of matter
4.1. Physical properties of systems and objects
4.2. Identification of objects and systems
For students and young teachers
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